To look for something is to try to find it. Eyes open, and moving about.
It describes the searching rather than the finding, which is the useful part, since you can look for something all afternoon and never find it. It covers lost keys and new jobs equally, and looking for work is the standard phrase. Its close relative search for is more formal, and seek is formal again. Looking for trouble means behaving in a way that will certainly produce some.
1phraselook forTo try to find something or someone.
“I have been trying to look for that receipt all morning.”
Also accepted in games: search, search for, seek